Not at all. Iranian diplomacy is on a different level, since Iran practices independent foreign policy. Pakistan's foreign policy is not independent and therefore like Turkey you could leverage your "being allied status" to take what mattered to you.
Also Pakistan's sanctions were removed not because of Pakistan's diplomacy but because of 9/11 which necessitated the involvement of Pakistan to allow for B-52 to bomb Afghanistan.
Not even a gram of NATO supplies have passed through Iran. Lying will not make something true. But Iran does trade with Afghans, which is completely non-military and has been going on far longer than Pakistan ever existed. Iran never allows B-52's and FA-18's to fly to bomb Afghanistan. That is your distinction and honor.
It would not matter. When Pakistan cooperated with American policies in Afghanistan of 1980's, immediately afterwards Pakistan was put in a corner (even some say sanctioned) by Pressler amendment. Another Pressler amendment of a more serious nature will be applied when Americans leave Afghanistan completely. This goes to show that as nation which practices a dependent foreign policy, you must get what you need when you have the chance. The situation will not improve, from now on. Only get worse.